Testing Homogeneity of Covariance Matrices

Figure 1. Box's test of equality of covariance matrices
Box's test of equality of covariance matrices

The assumption for the multivariate approach is that the vector of the dependent variables follow a multivariate normal distribution, and the variance-covariance matrices are equal across the cells formed by the between-subjects effects. Box's M tests the null hypothesis that the observed covariance matrices of the dependent variables are equal across groups. The Box's M test statistic is transformed to an F statistic with df1 and df2 degrees of freedom. Here, the significance value of the test is greater than 0.10, thus you can be confident that this model assumption is met.

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